Publications related to Theory of Computation Laboratory 2

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Small Extended Formulation for Knapsack Cover Inequalities from Monotone Circuits

Ola Nils Anders Svensson, Abbas Bazzi, Sangxia Huang

Initially developed for the min-knapsack problem, the knapsack cover inequalities are used in the current best relaxations for numerous combinatorial optimization problems of covering type. In spite of their widespread use, these inequalities yield linear ...

UNIV CHICAGO, DEPT COMPUTER SCIENCE2018

Constant factor approximation for ATSP with two edge weights

Ola Nils Anders Svensson, Jakub Tarnawski

We give a constant factor approximation algorithm for the Asymmetric Traveling Salesman Problem on shortest path metrics of directed graphs with two different edge weights. For the case of unit edge weights, the first constant factor approximation was give ...

SPRINGER HEIDELBERG2018

A Constant-Factor Approximation Algorithm for the Asymmetric Traveling Salesman Problem

Ola Nils Anders Svensson, Jakub Tarnawski

We give a constant-factor approximation algorithm for the asymmetric traveling salesman problem. Our approximation guarantee is analyzed with respect to the standard LP relaxation, and thus our result confirms the conjectured constant integrality gap of th ...

ASSOC COMPUTING MACHINERY2018

Finding Perfect Matchings in Bipartite Hypergraphs

Chidambaram Annamalai

Haxell's condition [14] is a natural hypergraph analog of Hall's condition, which is a well-known necessary and sufficient condition for a bipartite graph to admit a perfect matching. That is, when Haxell's condition holds it forces the existence of a perf ...

SPRINGER HEIDELBERG2018

Improved Massively Parallel Computation Algorithms for MIS, Matching, and Vertex Cover

Slobodan Mitrovic, Mohsen Ghaffari

We present O(log log n)-round algorithms in the Massively Parallel Computation (MPC) model, with a(n) memory per machine, that compute a maximal independent set, a 1 + epsilon approximation of maximum matching, and a 2 + epsilon approximation of minimum ve ...

ASSOC COMPUTING MACHINERY2018

A Framework for the Secretary Problem on the Intersection of Matroids

Ola Nils Anders Svensson, Moran Feldman, Rico Zenklusen

The secretary problem became one of the most prominent online selection problems due to its numerous applications in online mechanism design. The task is to select a maximum weight subset of elements subject to given constraints, where elements arrive one- ...

ASSOC COMPUTING MACHINERY2018

Using Structural Properties for Integer Programs

Kim-Manuel Klein

Integer programs (IPs) are one of the fundamental tools used to solve combinatorial problems in theory and practice. Understanding the structure of solutions of IPs is thus helpful to argue about the existence of solutions with a certain simple structure, ...

SPRINGER INTERNATIONAL PUBLISHING AG2018

Hardness Results for Consensus-Halving

Jie Zhang, Aris Filos Ratsikas

The Consensus-halving problem is the problem of dividing an object into two portions, such that each of n agents has equal valuation for the two portions. We study the epsilon-approximate version, which allows each agent to have an epsilon discrepancy on t ...

Schloss Dagstuhl-Leibniz-Zentrum fuer Informatik2018

Theory of Computation Laboratory 2

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When Stuck, Flip a Coin

Algorithms For Clustering Problems

Small Extended Formulation for Knapsack Cover Inequalities from Monotone Circuits

Constant factor approximation for ATSP with two edge weights

A Constant-Factor Approximation Algorithm for the Asymmetric Traveling Salesman Problem

Finding Perfect Matchings in Bipartite Hypergraphs

Improved Massively Parallel Computation Algorithms for MIS, Matching, and Vertex Cover

A Framework for the Secretary Problem on the Intersection of Matroids

Using Structural Properties for Integer Programs

Hardness Results for Consensus-Halving

When Stuck, Flip a Coin

Algorithms For Clustering Problems

Small Extended Formulation for Knapsack Cover Inequalities from Monotone Circuits

A Constant-Factor Approximation Algorithm for the Asymmetric Traveling Salesman Problem

Finding Perfect Matchings in Bipartite Hypergraphs

Improved Massively Parallel Computation Algorithms for MIS, Matching, and Vertex Cover

A Framework for the Secretary Problem on the Intersection of Matroids

Constant factor approximation for ATSP with two edge weights

Hardness Results for Consensus-Halving

Using Structural Properties for Integer Programs